#### Answer

The TV should have a diagonal of $50.3''$

#### Work Step by Step

Let $D_1 = 32''$ and let $L_1 = 7 ~ft$
Let $L_2 = 11~ft$
We can find $D_2$:
$\frac{D_2}{L_2} = \frac{D_1}{L_1}$
$D_2 = (\frac{D_1}{L_1})~(L_2)$
$D_2 = (\frac{32''}{7~ft})~(11~ft)$
$D_2 = 50.3''$
The TV should have a diagonal of $50.3''$